Divide unity into two parts such that the sum of their cubes is `(7)/(16)`

Divide 16 into two parts such that the sum of their cubes is minimum.

Divide 16 into two parts such that the sum of their cubes is minimum.

Divide 15 into two parts such that the sum of their reciprocals is (3)/(10).

Divide 27 into two parts such that the sum of their reciprocals is (3)/(20)

Divide 40 into two parts such that the sum of their reciprocals is (8)/(75)

Divide 8 into two parts such that the sum of their reciprocals is 2/3.

50 is divided into two parts such that the sum of their reciprocals is (1)/(12) .Find the two parts.

Divide 15 into two parts such that the sum of their reciprocals is 3/10 .

Number 60 is divided into two parts such that the sum of their reciprocals is (3)/(40). Find the two parts.